Exponential stability of a rotating Timoshenko beam under thermo-viscoelastic damping

DOI10.1080/00207160.2021.1916000zbMath1499.35380OpenAlexW3152971424WikidataQ115552387 ScholiaQ115552387MaRDI QIDQ5063460

Amirouche Berkani

Publication date: 21 March 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1916000

zbMATH Keywords

Timoshenko beamheat conductionvibration controlrotational motionrelaxation functionmemory term

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20)

Related Items (2)

A new stability result for a flexible satellite system with viscoelastic damping ⋮ On stabilization of an axially moving string with a tip mass subject to an unbounded disturbance

Cites Work

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• Viscoelastic Timoshenko beams with occasionally constant relaxation functions
• General energy decay in a Timoshenko-type system of thermoelasticity of type III with a viscoelastic damping
• Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping
• General energy decay rates for a weakly damped Timoshenko system
• Exponential stabilization of the Timoshenko system by a thermal effect with an oscillating kernel
• Exponential stability of the linearized nonuniform Timoshenko beam
• Energy decay in a Timoshenko-type system of thermoelasticity of type III
• Boundary feedback stabilization of Timoshenko beam with boundary dissipation
• Dynamic boundary control of the Timoshenko beam
• Energy decay for Timoshenko systems of memory type.
• Global stability for damped Timoshenko systems
• Asymptotic behavior of Timoshenko beam with dissipative boundary feedback
• Vibration control of a viscoelastic translational Euler-Bernoulli beam
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• A general stability result in a memory-type Timoshenko system
• Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping
• Stability to 1-D thermoelastic Timoshenko beam acting on shear force
• Exponential decay for a viscoelastically damped Timoshenko beam
• Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control
• Exponential decay of Timoshenko beam with locally distributed feedback
• Orientation and stabilization of a flexible beam attached to a rigid body: planar motion
• Boundary Control of the Timoshenko Beam
• Feedback stabilization of a Timoshenko beam with an end mass
• Stabilisation de la poutre de Timoshenko
• Stabilization of Timoshenko Beam by Means of Pointwise Controls
• Riesz basis property of the generalized eigenvector system of a Timoshenko beam
• Stabilization of a viscoelastic rotating Euler‐Bernoulli beam
• Robust adaptive vibration control for an uncertain flexible Timoshenko robotic manipulator with input and output constraints
• Boundary feedback exponential stabilization of a Timoshenko beam with both ends free
• Riesz Basis Approach to the Tracking Control of a Flexible Beam with a Tip Rigid Body without Dissipativity
• Stabilization of a viscoelastic Timoshenko beam
• Stabilization of a viscoelastic Timoshenko beam fixed into a moving base
• On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body
• On boundary feedback stabilization of Timoshenko beam with rotor inertia at the tip

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